(Electrostatics – Physics Honours Notes) 📌 1. Electric Field (𝐄⃗ ) Electric field represents the influence of a charge on the surrounding space. E=Qr4πϵ0R3E = \frac{Qr}{4\pi\epsilon_0 R^3}E=4πϵ0R3Qr (∝ r ⇒ zero at center) ⭐ B)…
UG Physics (Honours) Notes 🔹 1️⃣ Oscillations ⭐ Simple Harmonic Motion (SHM) A body performs SHM when acceleration is directly proportional to displacement and directed towards the mean position:a=−ω2xa = -\omega^2 xa=−ω2x General solution:x(t)=Acos(ωt+ϕ)x(t) =…
UG Physics (Honours) Notes ⭐ Newton’s Law of Gravitation Newton stated that every two masses in the universe attract each other with a force:F=Gm1m2r2F = G\frac{m_1 m_2}{r^2}F=Gr2m1m2 Examples: Gravitational force, Electrostatic force. 🔸 Two-Body Problem…
UG Physics (Honours) Notes 1️⃣ Elasticity Elasticity is the property of a material by which it returns to its original shape after removing external forces. Where:ηηη = Shear modulus, rrr = Radius, lll = Length,…
UG Physics (Honours) Notes 1️⃣ Rotational Dynamics Rotational motion deals with bodies that rotate about an axis. Just like linear motion involves force and momentum, rotation involves torque and angular momentum. Angular Momentum For a…
Calculus – II | Undergraduate Mathematics Notes Vectors play a crucial role in describing physical quantities such as force, velocity, electric and magnetic fields. Vector calculus deals with the differentiation and integration of vector fields…
Calculus – II | Undergraduate Mathematics In many physical and engineering problems, the geometry of motion or fields may not be suitable for Cartesian (x, y, z) coordinates. To handle such problems efficiently, Orthogonal Curvilinear…
For Undergraduate Students Calculus–II extends the concepts of single-variable calculus into functions of more than one variable. It is an essential mathematical tool for Physics, Chemistry, Engineering, Computer Science, and Economics. This chapter introduces partial…
Calculus is one of the most important areas of Mathematics for undergraduate students across science, commerce, and engineering streams. It helps us understand how quantities change and provides tools for modeling real-world problems in physics,…
1. Introduction Computers are among the most powerful tools ever invented, capable of processing large amounts of data at incredible speed. However, no matter how much processing a computer performs, it is useless unless it…
